Mathematics 0580: DIFFERENIATION Topical Past Paper Questions

**(a)** Find the coordinates of the turning points of the graph $y = 8x^{3} - 6x + 5$. [5] You must show all your working. **(b)** Determine whether each turning point is a maximum or a minimum. Show how you decide. [3]

$$ y = x^3 + 3x^2 - 13x $$ (a) Find $\frac{dy}{dx}$. [2] (b) Find the gradient of the curve $y = x^3 + 3x^2 - 13x$ at the point where $x = 3$. [2]

(a) On the axes, sketch the graph of $y = 4 - 3x$. [2] (b) On the axes, sketch the graph of $y = -x^{2}$. [2] **(c)** > **(i)** Find the coordinates of the turning points of the graph of $y = 10 + 9x^{2} - 2x^{3}$. You must show all your working. [5] > > **(ii)** Determine whethe…